Question

Let ff be the function given by f(x)=e2x−1 x f(x)=e2x−1 x. Which of the following equations expresses the property that f(x)f(x) can be made arbitrarily close to 2 by taking xx sufficiently close to 0, but not equal to 0

Answer 1

Answer:

Step-by-step explanation:

$\lim_{x \to \ 0} \frac{e^{2x}-1 }{x} \\= \lim_{x \to \0} \frac{e^{2x}-1 }{2 x} *2\\\rightarrow2 log e\\\rightarrow 2$

Answer 2

Answer:

C

Step-by-step explanation:

going to 0 is give by limx->0 and it =2